Question

A Euler path is a path that uses every edge in a graph with no repeats
True or False:.

Answer 1

True. To determine the truthfulness of the statement, we can break it down into two parts:
1. A Euler path uses every edge in a graph.
This part of the statement is true. A Euler path, by definition, visits every edge exactly once. Therefore, a Euler path does use every edge in a graph.
2. A Euler path has no repeats. This part of the statement is also true. In a Euler path, each edge is visited only once, ensuring that there are no repeated edges in the path.